How do you add in base #8# the numbers #6_8#, #54_8#, #134_8# and #752_8# ?

Question

Avery Alexander · Accepted Answer

#6_8+54_8+134_8+752_8 = 1170_8#

In order to add up the columns, write the numbers in a list that is aligned to the right.

#color(white)(000)6# #color(white)(00)54# #color(white)(0)134# #underline(color(white)(0)752)#

In the units column, add #6#, #4#, #4# and #2# to get #20_8# (i.e. #16_10#). So write a #0# in the units column of the sum and carry #2#.

#color(white)(000)6# #color(white)(00)54# #color(white)(0)134# #underline(color(white)(0)752)# #color(white)(000)0# #color(white)(00)color(grey)(2)#

In the eights column, add #5#, #3#, #5# and our carry #2# to get #17_8# (i.e. #15_10#). So write a #7# in the eights column of the sum and carry #1#.

#color(white)(000)6# #color(white)(00)54# #color(white)(0)134# #underline(color(white)(0)752)# #color(white)(00)70# #color(white)(0)color(grey)(12)#

In the eight-squared column, add #1#, #7# and our carry #1# to get #11_8# (i.e. #9_10#). So write a #1# in the eight-squared column of the sum and carry #1#.

#color(white)(000)6# #color(white)(00)54# #color(white)(0)134# #underline(color(white)(0)752)# #color(white)(0)170# #color(grey)(112)#

In the eight-cubed column, we just have our carry #1#, so write that in the eight-cubed column of the sum and stop.

#color(white)(000)6# #color(white)(00)54# #color(white)(0)134# #underline(color(white)(0)752)# #1170# #color(grey)(112)#

Julia Adams · Answer

undefined The sum of the numbers 6₈, 54₈, 134₈, and 752₈ in base 8 is 946₈.