Decimal AdditionBinary AdditionSlide 3Slide 4Octal AdditionSlide 6Hexadecimal AdditionSlide 8Decimal SubtractionBinary SubtractionBinary SubtractionOctal SubtractionOctal SubtractionHexadecimal SubtractionSlide 15Decimal Addition 111 3758+ 4657 8415What is going on? 1 1 1 (carry) 3 7 5 8 + 4 6 5 7 14 11 15- 10 10 10 (subtract the base) 8 4 1 5Binary AdditionRules. –0 + 0 = 0–0 + 1 = 1–1 + 0 = 1–1 + 1 = 2 = 102 = 0 with 1 to carry–1 + 1 + 1 = 3 = 112 = 1 with 1 to carryBinary Addition 1 1 1 1 1 1 0 1 1 1 + 0 1 1 1 0 0 2 3 2 2 - 2 2 2 2 1 0 1 0 0 1 1Verification 5510+ 2810 8310 64 32 16 8 4 2 1 1 0 1 0 0 1 1 = 64 + 16 + 2 +1 = 8310Binary Addition ex Verification 1 0 0 1 1 1 + 0 1 0 1 1 0 + ___ ___________ 128 64 32 16 8 4 2 1 = =Octal Addition 1 1 6 4 3 78 + 2 5 1 08 9 9 - 8 8 (subtract Base (8)) 1 1 1 4 78Octal Additionex 3 5 3 68 + 2 4 5 78 - (subtract Base (8))Hexadecimal Addition 1 1 7 C 3 916 + 3 7 F 216 20 18 11 - 16 16 (subtract Base (16)) B 4 2 B16Hexadecimal Addition 8 A D 416 + 5 D 616 - (subtract Base (16)) 16Decimal Subtraction 7 13 10 8 4 1 15 - 4 6 5 7 3 7 5 8 How it was done?( add the base 10 when borrowing) 10 10 7 3 0 10 8 4 1 5 13 10 15- 4 6 5 7 3 7 5 8Binary Subtraction 1 2 1 0 2 0 2 2 1 0 1 0 0 1 1 - 0 1 1 1 0 0 1 1 0 1 1 1 Verification 8310- 2810 5510 64 32 16 8 4 2 1 1 1 0 1 1 1 = 32 + 16 + + 4 + 2 +1 = 5510Binary Subtraction ex Verification 1 0 0 1 1 1 - 0 1 0 1 1 0 - ___ ___________ 128 64 32 16 8 4 2 1 = =Octal Subtraction 8 0 0 8 1 1 1 4 78 8 9 - 6 4 3 78 2 5 1 08Octal Subtractionex 3 5 3 68 - 2 4 5 78Hexadecimal Subtraction B 16 7 C 3 916 19- 3 7 F 216 4 4 4 716Hexadecimal Subtraction 8 A D 416 - 5 D 616