Chapter Reviews- Chapter 1: Basic Concepts
What is the hexadecimal representation of each of the following binary numbers? a. 0011 0101 1101 1010 b. 1100 1110 1010 0011 c. 1111 1110 1101 1011
(a) 35DA (b) CEA3 (c) FEDB
What is the decimal representation of each of the following unsigned binary integers? a. 00110101 b. 10010110 c. 11001100
(a) 53 (b) 150 (c) 204
What is the sum of each pair of hexadecimal integers? a. 7C4 3BE b. B69 7AD
(a) B82 (b) 1316
What is the 16-bit hexadecimal representation of each of the following signed decimal integers? a. -24 b. -331
(a) FFE8 (b) FEB5
What is the 16-bit hexadecimal representation of each of the following signed decimal integers? a. -21 b. -45
(a) FFEB (b) FFD3
What is the decimal representation of each of the following signed binary numbers? a. 10000000 b. 11001100 c. 10110111
(a) −128 (b) −52 (c) −73
What is the decimal representation of each of the following signed binary numbers? a. 10110101 b. 00101010 c. 11110000
(a) −75 (b) +42 (c) −16
If a boolean function has four inputs, how many rows are required for its truth table?
It requires 24 (16) rows.
In an 8-bit binary number, which is the most significant bit (MSB)?
Most significant bit (the highest numbered bit).
Calculate binary 00001101 minus 00000111.
00000110
How many selector bits are required for a four-input multiplexer?
2 bits, producing the following values: 00, 01, 10, 11
Challenge: What is the largest decimal value you can represent, using a 129-bit unsigned integer?
2¹²⁹-1 OR 6.8056473384187692692674921486353 X 10³⁸
Challenge: What is the largest decimal value you can represent, using a 86-bit signed integer?
2⁸⁵-1 OR 77371252455336267181195263
What are the hexadecimal and decimal representations of the ASCII character capital B?
42h and 66d
What are the hexadecimal and decimal representations of the ASCII character capital G?
47h and 71d
What is the 8-bit binary (two's-complement) representation of each of the following signed decimal integers? a. -5 b. -42 c. -16
(a) 11111011 (b) 11010110 (c) 11110000
What is the binary representation of the following hexadecimal numbers? a. 0126F9D4 b. 6ACDFA95 c. F69BDC2A
(a) 0000 0001 0010 0110 1111 1001 1101 0100 (b) 0110 1010 1100 1101 1111 1010 1001 0101 (c) 1111 0110 1001 1011 1101 1100 0010 1010
What is the 8-bit binary (two's-complement) representation of each of the following signed decimal integers? a. -72 b. -98 c. -26
(a) 10111000 (b) 10011110 (c) 11100110
The following 16-bit hexadecimal numbers represent signed integers. Convert each to decimal. a. 4CD2 b. 8230
(a) 19666 (b) -32208
The following 16-bit hexadecimal numbers represent signed integers. Convert each to decimal. a. 6BF9 b. C123
(a) 27641 (b) -16093
What is the unsigned decimal representation of each of the following hexadecimal integers? a. 3A b. 1BF c. 1001
(a) 58 (b) 447 (c) 16534
How many bits are used by each of the following data types? a. word b. doubleword c. quadword d. double quadword
(a) 8 (b) 32 (c) 64 (d) 128
What is the unsigned decimal representation of each of the following hexadecimal integers? a. 62 b. 4B3 c. 29F
(a) 98 (b) 1203 (c) 671
What is the sum of each pair of hexadecimal integers? a. 6B4 + 3FE b. A49 + 6BD
(a) AB2 (b) 1106
What is the sum of each pair of binary integers? a. 10101111 + 11011011 b. 10010111 + 11111111 c. 01110101 + 10101100
(a) 110001010 (b) 110010110 (c) 100100001
What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? a. 4095 b. 65534 c. 42319
(a) 12 (b) 16 (c) 16