Chapter 2 - Number Systems, Operations and Codes

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BCD stands for

binary coded decimal

The 1's complement of a binary number is derived by

changing 0s to 1s and 1s to 0s

Many systems use a parity bit as a means for bit

error detection

The decimal equivalent of the BCD number 1010 is

invalid

In a binary number system, the right-most bit is the

least significant bit; the left-most bit is the most significant bit

The hexadecimal

number system has a base of sixteen

The octal

number system is composed of eight digits

In the decimal

number system, each digit, 0 through 9, represents a certain quantity

The numbers in a multiplication are the multiplicand, the multiplier, and the

product

The numbers in a division are the dividend, the divisor, and the

quotient

A floating-point number consists of two parts plus a

sign

The Gray code exhibits only a

single bit change from one code number to the next

With four binary bits,

sixteen numbers can be represented

ASCII

stands for American Standard Code for Information Interchange

The two numbers in a subtraction are the

subtrahend and the minuend

Overflow can occur if two signed numbers are added and

they have the same sign

In the binary number system, you have only

two digits, called bits

The Gray code is

unweighted; there are no specific weights assigned to the bit positions

An unweighted code in which only one bit changes from one code number to the next is

Gray

ASCII stands for American Standard Code for Information

Interchange

The 2's complement of a binary number is found by adding 1 to the

LSB of the 1's complement

The binary number 1110 is equal to the decimal number

14

A systematic method of converting whole numbers from decimal to binary is the repeated division by

2 process

The binary number 11001110 is equal to the decimal number

206

The column weight of the "1" in the hexadecimal number 1AB is

256

The largest unsigned decimal number that can be represented in binary using six bits is

63

The largest BCD number that can be represented with four binary bits is

9

In binary addition, 1 + 1 equals

10

The 2's complement of the binary number 1000 is

1000

The decimal number -128 is represented in the signed 2's complement system as

1000 0000

The decimal number 18 is equal to the binary number

10010

Convert the binary number 1100 to Gray code

1010

Express the decimal number -37 as an 8-bit number in sign-magnitude.

10100101

The decimal number 188 is equal to the binary number

10111100

The difference of 111 - 001 equals

110

Convert the Gray code 1011 to binary

1101

The sum of 11101 + 10111 equals

110100

Assign the proper even parity bit to the code 1100001

11100001

Assign the proper odd parity bit to the code 111001

1111001

A decimal 11 in BCD is

00010001

The BCD number for decimal 16 is

00010110

The 2's complement of 11100111 is

00011001

The BCD number for decimal 347 is

0011 0100 0111

The sum of the two BCD numbers, 0011 + 0011, is

0110

The 1's complement of 10011101 is

01100010

There are

1 standard ASCII characters

Determine the decimal equivalent of the signed binary number 11110100 in 1's complement

-11

In binary subtraction, 1 − 1 equals

0

The decimal fraction 1/4 can be written in binary as

0.010

The two numbers in an addition are the

addend and the augend

The 2's complement of a binary number is derived by

adding 1 to the 1's complement

In the strictest sense,

alphanumeric codes are codes that represent numbers and alphabetic characters

The left-most

bit in a signed binary number is the sign bit

A binary number

can be converted to a decimal number by summing the decimal values of the weights of all the 1's in the binary number

The 1's

complement of a binary number is found by simply changing all 1's to 0's and all 0's to 1's

The octal number system

consists of eight digits, 0 through 7

Resistors—usually 300 omega.gif apiece—inserted between a decoder and a 7-segment display are

current limiting resistors for the 7-segment display

The position of each digit in a decimal number indicates the magnitude of the quantity represented and can be assigned a

weight


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