Question

Question (15 pts.) Convert the decimal numbers from 0 to 32 to BCD, Hexadecimal, Octal, and Binary, using the minimum number of bits or digits, and without using calculators Fill your results in the table below. BCD Hex Oct |

Answer 1

Solution:

converstion proces. Decimal to Binary Ex: 6. 916 23 -0 Decimal 6 = 110 in binary Decimal to Octal: Ex: 16 16 consider . in binary is 010000 three. bits as pair. 01 0000 ou 20 in octal . Decimal to Hera Ex: 16 16 5 010000 si consider 4 bits as group 01 0000 o 1 J 40' 116." 116 710 in Hexa

Convertion decimal to BCD Ex. 16 each digit Represent into 4 bit to 0110: je 0001 (16), 300010110 in BCD BCD | Hex I oct 0000 0 0 000! 0010 1 2 2 10 0011 0100 100 0101 101 0110 110 0111 7 :7 111

- BCD I Hex OC Bin 11000 8 10 1000 1001 1001 A 12 1010 13 1011 1100 15 1101 0001 000 0 00010001 00010010 00010011 00010100 0001010.1 100010110 0001 0111 1110 17 1111 16 20 10000 il 21 10001 22 10010 23 10011 10100 24 10101 16 Tollo 26 27 10111 30 11000 10001 1000 12 100011001 13 0010 0000 14. 21. 00100001 15 22 0010 0010 23 0010 0011 17 24 10010 0100 18 25 0010 0101 19 26 00100110 A 27 10010011] IB 28 00101000 29 10010 1001 10011 000 0 31 100110001 32 100110010 | 20 31 11001 32 | 33 35 111010 111011 111100 Till01 11110 11 100000 30 TIF 37 40

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