Question 1. Which base, hex or octal, is more commonly used today as a shorthand representation for binary numbers and why? To answer, refer to Table 2.1 and consider the following: a. which base, hex or octal, will require fewer digits to represent a binary number? And b. given that a byte is comprised of 8 bits, which base, hex or octal, can be more compactly used to represent an 8-bit (1-byte) binary number? Assume a byte value of 11111111 and convert to octal and hex. Write your answers, including explanations, in your lab journal. Table 2.1: Numbers 0 to 31 and 56 to 71 in decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16). Decimal Binary Octal Hex Decimal Binary Octal Hex 00 0000 00 00 56 11 1000 70 38 01 0001 01 01 57 11 1001 71 39 02 0010 02 02 58 11 1010 72 ЗА 03 0011 03 03 59 11 1011 73 3B 11 1100 11 1101 04 0100 04 04 60 74 3C 05 0101 05 05 61 75 3D 06 0110 06 06 62 11 1110 76 ЗЕ 07 0111 07 07 63 11 1111 77 3F 08 1000 10 08 64 100 0000 100 40 09 1001 11 09 65 100 0001 101 41 10 1010 12 OA 66 100 0010 102 42 11 1011 13 OB 67 100 0011 103 43 12 1100 14 OC 68 100 0100 104 44 13 1101 15 OD 69 100 0101 105 45 14 1110 16 OE 70 100 0110 106 46 15 1111 17 OF 71 100 0111 107 47

Question 1. Which base, hex or octal, is more commonly used today as a shorthand representation for binary numbers and why? To answer, refer to Table 2.1 and consider the following: a. which base, hex or octal, will require fewer digits to represent a binary number? And b. given that a byte is comprised of 8 bits, which base, hex or octal, can be more compactly used to represent an 8-bit (1-byte) binary number? Assume a byte value of 11111111 and convert to octal and hex. Write your answers, including explanations, in your lab journal. Table 2.1: Numbers 0 to 31 and 56 to 71 in decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16). Decimal Binary Octal Hex Decimal Binary Octal Hex 00 0000 00 00 56 11 1000 70 38 01 0001 01 01 57 11 1001 71 39 02 0010 02 02 58 11 1010 72 ЗА 03 0011 03 03 59 11 1011 73 3B 11 1100 11 1101 04 0100 04 04 60 74 3C 05 0101 05 05 61 75 3D 06 0110 06 06 62 11 1110 76 ЗЕ 07 0111 07 07 63 11 1111 77 3F 08 1000 10 08 64 100 0000 100 40 09 1001 11 09 65 100 0001 101 41 10 1010 12 OA 66 100 0010 102 42 11 1011 13 OB 67 100 0011 103 43 12 1100 14 OC 68 100 0100 104 44 13 1101 15 OD 69 100 0101 105 45 14 1110 16 OE 70 100 0110 106 46 15 1111 17 OF 71 100 0111 107 47

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter22: Sequence Control

Section: Chapter Questions

Problem 6SQ: Draw a symbol for a solid-state logic element AND.

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