COMPREHENSIVE STUDY GUIDE 2026 FULL
QUESTIONS AND SOLUTIONS GRADED A+
◍ Convert to binary:a. 156b. 12.34375.
Answer: a. 10011100b. 1100.01011
◍ Convert to decimal:a. 10010011b. 11010.11001.
Answer: a. 147b. 26.78125
◍ Convert from decimal to octal:a. 456b. 117.16.
Answer: a. 710b. 165.12172
◍ Convert from octal to decimal:a. 761b. 1276.445.
Answer: a. 497b. 702.5722625
◍ Convert from decimal to hex:a. 766b. 1982.5001.
Answer: a. 2FEb. 7BE.80068
◍ Convert from hex to decimal:a. AA12b. 23F
E. AA.
Answer: a. 43538b. 9214.6640625
◍ Convert from binary to hex:a. 1100101000111111b.
111100100011000.001111110101.
Answer: a. CA3Fb. F918.3F5
◍ Convert from hex to binary:a. AA23b. DB23.879A.
Answer: a. 1010101000100011b. 1101101100100011 1000011110011010
◍ Convert from binary to octal:a. 110010b. 11111.01101.
Answer: a. 62b. 37.32
◍ Convert from octal to binary:a. 654b. 7654.123.
, Answer: a. 110101100b. 111110101100.011010011
◍ Convert from hex to octal:a. 34BCb. ABC3.FF23.
Answer: a. 32274b. 125703.776214
◍ Convert from octal to hex:a. 136572b. 177630.255254.
Answer: a. BD7Ab. FF98.56AB
◍ Represent the following in 8-bit signed magnitudea)-15b)-3c)+5d)+7.
Answer: a. +15: 00001111 -15: 1000111b. +3: 00000011 -3: 10000011c. +5:
00000101d. +7: 00000111
◍ Using 8-bit signed magnitude arithmetic, find the sum of the decimal
numbers 75 & 46. Verify your answer with the decimal equivalent..
Answer: 121
◍ Using 8-bit signed magnitude arithmetic, find the sum of the two decimal
numbers 13 & -19..
Answer: 10000110 or 6
◍ Find the sum of 48 & -19 using 8-bit 1's complement..
Answer: 29 or 00011101
◍ Find the 2's complement of 10011110..
Answer: 01100010
◍ What is the largest positive number one can represent in 14-bit 2's
complement code..
Answer: 2^13 - 1 = 8191
◍ What is the greatest magnitude negative number one can represent in 14-bit
2's complement code.
Answer: 2^13 - 1 = 8191
◍ Convert the following 2's complement binary numbers to
decimala)0110b)1101c)01101111d)1101101100011100e)1001110000000101.
Answer: a. 6b. -3c. 111d. -9444e. -25595
◍ Express the negative value -22 as a 2's complement integer, using eight bits.